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Simplifying 5z + 12 + 27z = 71 + 29z + -1(-1) Reorder the terms: 12 + 5z + 27z = 71 + 29z + -1(-1) Combine like terms: 5z + 27z = 32z 12 + 32z = 71 + 29z + -1(-1) Multiply -1 * -1 12 + 32z = 71 + 29z + 1 Reorder the terms: 12 + 32z = 71 + 1 + 29z Combine like terms: 71 + 1 = 72 12 + 32z = 72 + 29z Solving 12 + 32z = 72 + 29z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29z' to each side of the equation. 12 + 32z + -29z = 72 + 29z + -29z Combine like terms: 32z + -29z = 3z 12 + 3z = 72 + 29z + -29z Combine like terms: 29z + -29z = 0 12 + 3z = 72 + 0 12 + 3z = 72 Add '-12' to each side of the equation. 12 + -12 + 3z = 72 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 72 + -12 3z = 72 + -12 Combine like terms: 72 + -12 = 60 3z = 60 Divide each side by '3'. z = 20 Simplifying z = 20
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